What is the Greatest Common Factor of 53130 and 53145?

Greatest common factor (GCF) of 53130 and 53145 is 15.

GCF(53130,53145) = 15

We will now calculate the prime factors of 53130 and 53145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53130 and 53145.

How to find the GCF of 53130 and 53145?

We will first find the prime factorization of 53130 and 53145. After we will calculate the factors of 53130 and 53145 and find the biggest common factor number .

Step-1: Prime Factorization of 53130

Prime factors of 53130 are 2, 3, 5, 7, 11, 23. Prime factorization of 53130 in exponential form is:

53130 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 53145

Prime factors of 53145 are 3, 5, 1181. Prime factorization of 53145 in exponential form is:

53145 = 3² × 5¹ × 1181¹

Step-3: Factors of 53130

List of positive integer factors of 53130 that divides 53130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 23, 30, 33, 35, 42, 46, 55, 66, 69, 70, 77, 105, 110, 115, 138, 154, 161, 165, 210, 230, 231, 253, 322, 330, 345, 385, 462, 483, 506, 690, 759, 770, 805, 966, 1155, 1265, 1518, 1610, 1771, 2310, 2415, 2530, 3542, 3795, 4830, 5313, 7590, 8855, 10626, 17710, 26565

Step-4: Factors of 53145

List of positive integer factors of 53145 that divides 53130 without a remainder.

1, 3, 5, 9, 15, 45, 1181, 3543, 5905, 10629, 17715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53130 and 53145. The biggest common factor number is the GCF number.
So the greatest common factor 53130 and 53145 is 15.

Also check out the Least Common Multiple of 53130 and 53145